If a cube has a volume of kcm3and a surface area of 10k cm2, what is its height in centimeters?
(F) 
(G) 
(H) 
(J) 
(K) 
A photocopy machine enlarges a small triangle to produce a larger,
similar triangle, as shown below. If the lengths of the sides, in
inches, are as marked on the figure, and the triangles are similarly
oriented, what is the value of x in inches?
（A）7
（B） 9
（C） 9
（D） 9
（E） 11
Correct Answer: D
If the equation x2+ mx+ n= 0 has two solutions, x = kand x = 2k,what is the value of mnin terms of k?
(A) 2k2(B) –2k2(C) –2k3(D) 6k3(E) –6k3
Correct Answer: E
Which of the following expressions is equivalent to 2a + 4b + 6c?
(A) 8(a + b + c) (B) 2(a + 2b) + 3c (C) 2(a + 4b + 6c) (D) 2(a + 2b + 6c) (E) 2(a + 2b + 3c)
Correct Answer: E
More ACT Math Exam Questions
- 1
Greg is making a triangular sail for a boat, shaped like a right triangle and shown below.
Sail material costs $8.99 for 150 square feet. If the material can be purchased in any quantity, which of the following is closest to the cost in dollars of the material needed to fill the area of the sail as shown?
- 2
What is the solution set of
- 3In the figure below, all line segments that intersect are
perpendicular. Using only the segments and vertices in the figure, how
many distinct rectangles are there with areas less than the area of ADLI?
(Note: If 2 rectangles have all four vertices in common, then they are not distinct.)
- 4
Pierre competes in a triathlon, along a course as shown in the figure below. He begins swimming at starting point S and swims straight across the lake, gets on his bicycle at station A, bikes to station B, and then runs to finishing line F. The judges use a stopwatch to record his elapsed times of tA, tB, and tF hours from point S to points A, B, and F, respectively. If the distance, in miles, between points S and A along the racecourse is denoted by SA, then what is Pierre's average speed for this race, in miles per hour?
- 5
What is the value of x if
?